For children between the ages of 18 months and 29 months, there is an approximately linear relationship between height and age. the relationship can be represented by y hat = 64.93 + 0.63x, where y represents height (in centimeters) and x represents age (in months). joseph is 22.5 months old. what is his predicted height?

Question

Mathematics

Ben Potts

11 December, 16:44

For children between the ages of 18 months and 29 months, there is an approximately linear relationship between height and age. the relationship can be represented by y hat = 64.93 + 0.63x, where y represents height (in centimeters) and x represents age (in months). joseph is 22.5 months old. what is his predicted height?

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Answers (1)

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Jace Pham · Answer 1

Given that the linear relationship between height and age is given by:

y=64.93+0.63x

To get Joseph's height given that he was 22.5 months old we proceed a follows:

x=22.5

plugging our value in the formula we obtain:

y=64.93+0.63 (22.5)

simplifying:

y=64.93+14.175

y=79.105 cm